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Finding the Third Proportional to 55,408.50 and 118,701

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Solution

The third proportional to 55,408.50 and 118,701 is: 254,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,408.50 : 118,701 = 118,701 : x
  2. Step 2: Convert to fraction form
    55,408.50/118,701 = 118,701/x
  3. Step 3: Cross multiply
    55,408.50x = 118,701 × 118,701
  4. Step 4: Simplify right side
    55,408.50x = 14,089,927,401
  5. Step 5: Solve for x
    x = 14,089,927,401/55,408.50
  6. Step 6: Final answer
    x = 254,291.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.